Finite Group Databasebeta

← #26182307

Subgroups — #26182307

Order 12032.

984 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689720C211yesmaximal, characteristic
2#20252414C211yesmaximal, characteristic, complemented
3#20252410C211yesmaximal, characteristic, complemented
4#20241756C212yesmaximal, complemented
5#20241750C212yesmaximal, complemented
6#20241742C212yesmaximal, complemented
7#20241735C212yesmaximal, complemented
8#20241704C211yesmaximal, characteristic, complemented
9#20241704C211yesmaximal, characteristic, complemented
10C2×#15688849C211yesmaximal, characteristic, complemented
11C2×C47×#324C211yesmaximal, characteristic, complemented
12#15689720—22no—
13#15689720—22no—
14#15689720—22no—
15#15689720—22no—
16C2×#13094019C411yescharacteristic
17C2×#13094019C2211yescharacteristic
18C2×#13094014C411yescharacteristic
19C2×#13094014C2211yescharacteristic
20C2×#13094009C411yescharacteristic
21C2×#13094009C2211yescharacteristic
22C2×#13094007C411yescharacteristic
23C2×#13094007C411yescharacteristic
24C2×#13094003C411yescharacteristic
25C2×#13094002C411yescharacteristic
26C2×#13094002C2211yescharacteristic
27C2×#13093998C411yescharacteristic
28C2×C4×C22⋊D47C2211yescharacteristic
29C2×C4×C22⋊D47C2211yescharacteristic
30#15689194—22no—
31#15689191—22no—
32C8×C22⋊D47—22no—
33(C22⋊D47)⋊C8—22no—
34#15689177C2212yes—
35#15689173C2212yes—
36#15689085C2212yes—
37C2×C22⋊(C47⋊C8)C2211yescharacteristic
38C2×C22⋊(C47⋊C8)C2211yescharacteristic
39C22⋊C8×D47C2212yes—
40#15688849C2212yes—
41#15688849C2212yes—
42#15688848C2212yes—
43#15688848C2212yes—
44#15688846C2212yes—
45#15688846C2212yes—
46C22×C4⋊C4×C47C2211yescharacteristic
47C2×C22⋊C8×C47C2211yescharacteristic
48C2×C22⋊C8×C47C2211yescharacteristic
49C47×#324C2212yes—
50C47×#324C2212yes—
51C22×Dic94C2×C411yescharacteristic
52C22×D188C2×C411yescharacteristic
53C22×C22⋊D47C2×C411yescharacteristic
54C22×C22⋊D47C2×C411yescharacteristic
55C22×C4×D47C2×C411yescharacteristic
56C22×C4×D47C2311yescharacteristic
57C2×#10625324—22no—
58C22×C47⋊C8—21no—
59C22×C47⋊C8—21no—
60C2×C8×D47—22no—
61#13094019—22no—
62#13094019—22no—
63#13094019—22no—
64#13094019—22no—
65#13094014—22no—
66#13094014—22no—
67#13094014—22no—
68#13094014—22no—
69#13094009—22no—
70#13094009—22no—
71#13094009—22no—
72#13094009—22no—
73#13094007—22no—
74#13094007—22no—
75#13094007—22no—
76#13094007—22no—
77#13094003—22no—
78#13094003—22no—
79#13094002—22no—
80#13094002—22no—
81#13094002—22no—
82#13094002—22no—
83#13093998—22no—
84#13093998—22no—
85C4×C22⋊D47—21no—
86C4×C22⋊D47—21no—
87C4×C22⋊D47—21no—
88C4×C22⋊D47—21no—
89C4×C22⋊D47D412yes—
90C4×C22⋊D47D412yes—
91C4×C22⋊D47D412yes—
92C4×C22⋊D47D412yes—
93C2×C4⋊Dic47C2×C411yescharacteristic
94C2×C4⋊Dic47C2×C411yescharacteristic
95C2×Dic47⋊C4C2×C411yescharacteristic
96C2×Dic47⋊C4C2×C411yescharacteristic
97C2×Dic47⋊C4C2×C411yescharacteristic
98C2×Dic47⋊C4C2×C411yescharacteristic
99C2×Dic47⋊C4C2×C411yescharacteristic
100C2×Dic47⋊C4C2×C411yescharacteristic
101C2×Dic47⋊C4C2×C411yescharacteristic
102C2×Dic47⋊C4C2311yescharacteristic
103C2×C22⋊Dic47C2×C411yescharacteristic
104C2×C22⋊Dic47C2×C411yescharacteristic
105C2×(C2×D47)⋊C4C2×C411yescharacteristic
106C2×(C2×D47)⋊C4C2×C411yescharacteristic
107C2×(C2×D47)⋊C4C2×C411yescharacteristic
108C2×(C2×D47)⋊C4C2×C411yescharacteristic
109C2×(C2×D47)⋊C4C2×C411yescharacteristic
110C2×(C2×D47)⋊C4C2×C411yescharacteristic
111C2×(C2×D47)⋊C4C2×C411yescharacteristic
112C2×(C2×D47)⋊C4C2311yescharacteristic
113C2×C4×Dic47C2×C411yescharacteristic
114C2×C4×Dic47C2311yescharacteristic
115Dic47⋊C8—22no—
116Dic47⋊C8—22no—
117C22⋊(C47⋊C8)—21no—
118C22⋊(C47⋊C8)—21no—
119C22⋊(C47⋊C8)C2312yes—
120C22⋊(C47⋊C8)C2312yes—
121(C2×D47)⋊C8—22no—
122(C2×D47)⋊C8—22no—
123#13093934—22no—
124C8×Dic47—22no—
125C23×C4×C47C2×C411yescharacteristic
126C23×C4×C47C2×C411yescharacteristic
127C23×C4×C47C2311yescharacteristic
128C22×C8×C47—21no—
129C22×C8×C47—21no—
130C2×C4⋊C4×C47—21no—
131C2×C4⋊C4×C47—21no—
132C2×C4⋊C4×C47—21no—
133C2×C4⋊C4×C47—21no—
134C2×C4⋊C4×C47C2×C411yescharacteristic
135C2×C4⋊C4×C47C2×C411yescharacteristic
136C2×C4⋊C4×C47C2311yescharacteristic
137C2×C4⋊C4×C47C2311yescharacteristic
138C22⋊C8×C47—21no—
139C22⋊C8×C47—21no—
140C22⋊C8×C47C2312yes—
141C22⋊C8×C47C2312yes—
142C24×C47C22×C411yescharacteristic
143C23×D47C22×C411yescharacteristic
144C23×D47C22×C411yescharacteristic
145C22×C4×C47—21no—
146C22×C4×C47—21no—
147C22×C4×C47—22no—
148C22×C4×C47—22no—
149C22×C4×C47—21no—
150C22×C4×C47—21no—
151C22×C4×C47—81no—
152C22×C4×C47—81no—
153C22×C4×C47C22×C411yescharacteristic
154C22×C4×C47C22×C411yescharacteristic
155C22×C4×C47C22×C411yescharacteristic
156C22×C4×C47C22×C411yescharacteristic
157C22×C4×C47C22×C411yescharacteristic
158C22×C4×C47C2×D411yescharacteristic
159C22×C4×C47C2×D411yescharacteristic
160C22×C4×C47C2×D411yescharacteristic
161C22×C4×C47C2×D411yescharacteristic
162C22×C4×C47C2411yescharacteristic
163C2×C22⋊D47—22no—
164C2×C22⋊D47—22no—
165C2×C22⋊D47—21no—
166C2×C22⋊D47—21no—
167C2×C22⋊D47—22no—
168C2×C22⋊D47—22no—
169C2×C22⋊D47C22⋊C412yes—
170C2×C22⋊D47C22⋊C412yes—
171C22×Dic47C22×C411yescharacteristic
172C22×Dic47C22×C411yescharacteristic
173C22×Dic47C22×C411yescharacteristic
174C22×Dic47C22×C411yescharacteristic
175C22×Dic47C22×C411yescharacteristic
176C22×Dic47C22×C411yescharacteristic
177C2×D188—22no—
178C2×D188—81no—
179C2×C4×D47—21no—
180C2×C4×D47—21no—
181C2×C4×D47—81no—
182C2×C4×D47—81no—
183C2×C4×D47C2×D412yes—
184C2×C4×D47C2×D412yes—
185C2×Dic94—22no—
186C2×Dic94—81no—
187C2×C8×C47—22no—
188C2×C8×C47—22no—
189C2×C8×C47—81no—
190C2×C8×C47—81no—
191C4⋊C4×C47—21no—
192C4⋊C4×C47—21no—
193C4⋊C4×C47—21no—
194C4⋊C4×C47—21no—
195C4⋊C4×C47—21no—
196C4⋊C4×C47—21no—
197C4⋊C4×C47—21no—
198C4⋊C4×C47—21no—
199C22⋊Dic47—21no—
200C22⋊Dic47—21no—
201C22⋊Dic47C22⋊C412yes—
202C22⋊Dic47C22⋊C412yes—
203(C2×D47)⋊C4—22no—
204(C2×D47)⋊C4—22no—
205(C2×D47)⋊C4—22no—
206(C2×D47)⋊C4—21no—
207(C2×D47)⋊C4—21no—
208(C2×D47)⋊C4—22no—
209(C2×D47)⋊C4—22no—
210(C2×D47)⋊C4—22no—
211(C2×D47)⋊C4C22⋊C412yes—
212(C2×D47)⋊C4C22⋊C412yes—
213C4⋊Dic47—22no—
214C4⋊Dic47—22no—
215Dic47⋊C4—21no—
216Dic47⋊C4—21no—
217Dic47⋊C4—22no—
218Dic47⋊C4—22no—
219Dic47⋊C4—22no—
220Dic47⋊C4—22no—
221Dic47⋊C4—22no—
222Dic47⋊C4—22no—
223Dic47⋊C4C22⋊C412yes—
224Dic47⋊C4C22⋊C412yes—
225C4×Dic47—21no—
226C4×Dic47—21no—
227C4×Dic47C2×D412yes—
228C4×Dic47C2×D412yes—
229C2×C47⋊C8—22no—
230C2×C47⋊C8—22no—
231C2×C47⋊C8—81no—
232C2×C47⋊C8—81no—
233#10625324—82no—
234C8×D47—82no—
235C23×C47—41no—
236C23×C47—41no—
237C23×C47C2×C22⋊C411yescharacteristic
238C23×C47C2×C22⋊C411yescharacteristic
239C23×C47#13112yes—
240C23×C47#13112yes—
241C23×C47C23×C411yescharacteristic
242C22×D47—21no—
243C22×D47—21no—
244C22×D47—21no—
245C22×D47—21no—
246C22×D47—21no—
247C22×D47—41no—
248C22×D47—41no—
249C22×D47—41no—
250C22×D47—41no—
251C22×D47C2×C22⋊C412yes—
252C2×C4×C47—21no—
253C2×C4×C47—21no—
254C2×C4×C47—21no—
255C2×C4×C47—21no—
256C2×C4×C47—21no—
257C2×C4×C47—21no—
258C2×C4×C47—21no—
259C2×C4×C47—21no—
260C2×C4×C47—41no—
261C2×C4×C47—41no—
262C2×C4×C47—41no—
263C2×C4×C47—41no—
264C2×C4×C47—41no—
265C2×C4×C47—41no—
266C2×C4×C47—42no—
267C2×C4×C47—42no—
268C2×C4×C47—41no—
269C2×C4×C47—41no—
270C2×C4×C47—81no—
271C2×C4×C47—81no—
272C2×C4×C47C2×C22⋊C411yescharacteristic
273C2×C4×C47C2×C22⋊C411yescharacteristic
274C2×C4×C47C22×D411yescharacteristic
275C2×C4×C47C22×D411yescharacteristic
276C22⋊D47—24no—
277C22⋊D47—24no—
278C22⋊D47—42no—
279C22⋊D47—42no—
280C2×Dic47—21no—
281C2×Dic47—21no—
282C2×Dic47—21no—
283C2×Dic47—21no—
284C2×Dic47—21no—
285C2×Dic47—21no—
286C2×Dic47—21no—
287C2×Dic47—41no—
288C2×Dic47—41no—
289C2×Dic47—41no—
290C2×Dic47—41no—
291C2×Dic47C2×C22⋊C412yes—
292C2×Dic47C2×C22⋊C412yes—
293C2×Dic47C2×C22⋊C412yes—
294D188—82no—
295C4×D47—42no—
296C4×D47—42no—
297C4×D47—81no—
298C4×D47—81no—
299Dic94—82no—
300C8×C47—42no—
301C8×C47—42no—
302C47⋊C8—42no—
303C47⋊C8—42no—
304#17387—471nomaximal, Sylow
305C22×C47—21no—
306C22×C47—21no—
307C22×C47—21no—
308C22×C47—21no—
309C22×C47—21no—
310C22×C47—21no—
311C22×C47—42no—
312C22×C47—42no—
313C22×C47#40812yes—
314C22×C47#40812yes—
315C22×C47C22×C22⋊C411yescharacteristic
316C22×C47C2×#13111yescharacteristic
317C22×C47C2×#13111yescharacteristic
318C2×D47—22no—
319C2×D47—22no—
320C2×D47—22no—
321C2×D47—41no—
322C2×D47—41no—
323C2×D47—41no—
324C2×D47—81no—
325C2×D47—81no—
326C2×D47—81no—
327C2×D47—81no—
328C4×C47—21no—
329C4×C47—21no—
330C4×C47—21no—
331C4×C47—21no—
332C4×C47—41no—
333C4×C47—41no—
334C4×C47—41no—
335C4×C47—41no—
336Dic47—22no—
337Dic47—22no—
338Dic47—22no—
339Dic47—41no—
340Dic47—41no—
341Dic47—41no—
342C2×#539—471no—
343#2973—471no—
344#2972—471no—
345#1473—472no—
346#1472—472no—
347#1470—472no—
348#1468—472no—
349#1459—471no—
350#1459—471no—
351C2×#324—471no—
352C2×#324D4711yescharacteristic, complemented
353C2×C47—21no—
354C2×C47—21no—
355C2×C47—22no—
356C2×C47—22no—
357C2×C47C2×#40811yescharacteristic
358C2×C47#288311yescharacteristic
359C2×C47#288911yescharacteristic
360D47—42no—
361D47—81no—
362#539—942no—
363#539—942no—
364#539—942no—
365#539—942no—
366C2×#126—471no—
367C2×#126—471no—
368C2×#125—471no—
369C2×#125—471no—
370C2×#123—471no—
371C2×#123—471no—
372C2×#123—471no—
373C2×#123—471no—
374C2×C22⋊Q8—471no—
375C2×C22⋊Q8—471no—
376C2×C22⋊Q8—471no—
377C2×#121—471no—
378C2×C4×D4—471no—
379C2×C4×D4—471no—
380C22×C4⋊C4C2×D4711yescharacteristic
381#435—942no—
382#435—942no—
383C8×D4—942no—
384C8×D4—942no—
385#432—472no—
386#431—472no—
387#407—472no—
388C2×C22⋊C8—471no—
389C2×C22⋊C8—471no—
390C2×C22⋊C8—472no—
391C2×C22⋊C8C2×D4711yescharacteristic
392C2×C22⋊C8C2×D4711yescharacteristic
393#324—472no—
394#324—472no—
395#324—472no—
396#324—472no—
397#324C2×D4712yes—
398#324C2×D4712yes—
399#323—472no—
400#323—472no—
401C47#1738711yescharacteristic, complemented, Sylow
402C22×Q8—471no—
403C22×D4—471no—
404C22×D4—471no—
405C22×D4—471no—
406C23×C4—471no—
407C23×C4—471no—
408C23×C4C4×D4711yescharacteristic
409C23×C4C4×D4711yescharacteristic
410C23×C4C22×D4711yescharacteristic
411C2×M16—942no—
412C22×C8—21no—
413C22×C8—21no—
414C22×C8—942no—
415C22×C8—941no—
416C22×C8—941no—
417#126—942no—
418#126—942no—
419#126—942no—
420#126—942no—
421#125—942no—
422#125—942no—
423#125—942no—
424#125—942no—
425#123—942no—
426#123—942no—
427#123—942no—
428#123—942no—
429#123—942no—
430#123—942no—
431#123—942no—
432#123—942no—
433C22⋊Q8—942no—
434C22⋊Q8—942no—
435C22⋊Q8—942no—
436C22⋊Q8—942no—
437C22⋊Q8—942no—
438C22⋊Q8—942no—
439#121—942no—
440#121—942no—
441C4×D4—472no—
442C4×D4—472no—
443C4×D4—472no—
444C4×D4—472no—
445C4×D4—941no—
446C4×D4—941no—
447C4×D4—941no—
448C4×D4—941no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—471no—
454C2×C4⋊C4—471no—
455C2×C4⋊C4—471no—
456C2×C4⋊C4—471no—
457C2×C4⋊C4—471no—
458C2×C4⋊C4—471no—
459C2×C4⋊C4—471no—
460C2×C4⋊C4—471no—
461C2×C4⋊C4—471no—
462C2×C4⋊C4—471no—
463C2×C4⋊C4C4×D4711yescharacteristic
464C2×C4⋊C4C4×D4711yescharacteristic
465C2×C4⋊C4C22×D4711yescharacteristic
466C2×C4⋊C4C22×D4711yescharacteristic
467C2×C22⋊C4—471no—
468C2×C22⋊C4—471no—
469C2×C22⋊C4—471no—
470C2×C22⋊C4—471no—
471C2×C22⋊C4—471no—
472C2×C22⋊C4—471no—
473C2×C22⋊C4—471no—
474C2×C22⋊C4—471no—
475C2×C22⋊C4—471no—
476C2×C22⋊C4—471no—
477C2×C42—471no—
478C2×C42—471no—
479C4⋊C8—942no—
480C4⋊C8—942no—
481C22⋊C8—21no—
482C22⋊C8—21no—
483C22⋊C8—472no—
484C22⋊C8—472no—
485C22⋊C8—942no—
486C22⋊C8—942no—
487C22⋊C8—941no—
488C22⋊C8—941no—
489C22⋊C8C22×D4712yes—
490C22⋊C8C22×D4712yes—
491#97—942no—
492C4×C8—942no—
493C24—471no—
494C24—471no—
495C24C2×C4×D4711yescharacteristic
496C2×Q8—942no—
497C2×Q8—3761no—
498C2×D4—472no—
499C2×D4—472no—
500C2×D4—942no—
501C2×D4—942no—
502C2×D4—942no—
503C2×D4—941no—
504C2×D4—941no—
505C2×D4—942no—
506C2×D4—942no—
507C2×D4—3761no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—81no—
515C22×C4—81no—
516C22×C4—471no—
517C22×C4—471no—
518C22×C4—471no—
519C22×C4—472no—
520C22×C4—472no—
521C22×C4—471no—
522C22×C4—471no—
523C22×C4—471no—
524C22×C4—941no—
525C22×C4—941no—
526C22×C4—3761no—
527C22×C4—3761no—
528C22×C4C2×C4×D4711yescharacteristic
529C22×C4C2×C4×D4711yescharacteristic
530C22×C4C2×C4×D4711yescharacteristic
531C22×C4C2×C4×D4711yescharacteristic
532C22×C4C2×C4×D4711yescharacteristic
533C22×C4D4×D4711yescharacteristic
534C22×C4D4×D4711yescharacteristic
535C22×C4D4×D4711yescharacteristic
536C22×C4D4×D4711yescharacteristic
537C22×C4C23×D4711yescharacteristic
538M16—3762no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—81no—
542C2×C8—81no—
543C2×C8—942no—
544C2×C8—942no—
545C2×C8—3762no—
546C2×C8—3761no—
547C2×C8—3761no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—472no—
557C4⋊C4—472no—
558C4⋊C4—942no—
559C4⋊C4—942no—
560C4⋊C4—942no—
561C4⋊C4—942no—
562C4⋊C4—942no—
563C4⋊C4—942no—
564C4⋊C4—942no—
565C4⋊C4—942no—
566C4⋊C4—941no—
567C4⋊C4—941no—
568C22⋊C4—472no—
569C22⋊C4—472no—
570C22⋊C4—472no—
571C22⋊C4—472no—
572C22⋊C4—942no—
573C22⋊C4—942no—
574C22⋊C4—942no—
575C22⋊C4—942no—
576C22⋊C4—942no—
577C22⋊C4—942no—
578C22⋊C4—941no—
579C22⋊C4—941no—
580C22⋊C4—941no—
581C22⋊C4—941no—
582C42—472no—
583C42—472no—
584C42—941no—
585C42—941no—
586C23—41no—
587C23—41no—
588C23—472no—
589C23—941no—
590C23—941no—
591C23—941no—
592C23—941no—
593C23—941no—
594C23—1881no—
595C23—1881no—
596C23—1881no—
597C23—1881no—
598C23C22⋊C4×D4711yescharacteristic
599C23C22⋊C4×D4711yescharacteristic
600C23#1309403012yes—
601C23#1309403212yes—
602C23C22×C4×D4711yescharacteristic
603Q8—3762no—
604D4—944no—
605D4—944no—
606D4—3762no—
607D4—1882no—
608D4—1882no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—81no—
628C2×C4—81no—
629C2×C4—472no—
630C2×C4—472no—
631C2×C4—472no—
632C2×C4—941no—
633C2×C4—941no—
634C2×C4—941no—
635C2×C4—941no—
636C2×C4—941no—
637C2×C4—941no—
638C2×C4—941no—
639C2×C4—3761no—
640C2×C4—3761no—
641C2×C4—1882no—
642C2×C4—1882no—
643C2×C4—1881no—
644C2×C4—1881no—
645C2×C4—1881no—
646C2×C4—1881no—
647C2×C4C22⋊C4×D4711yescharacteristic
648C2×C4C22⋊C4×D4711yescharacteristic
649C2×C4C2×D4×D4711yescharacteristic
650C2×C4C2×D4×D4711yescharacteristic
651C8—42no—
652C8—42no—
653C8—1882no—
654C8—1882no—
655C22—21no—
656C22—21no—
657C22—21no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—42no—
662C22—42no—
663C22—942no—
664C22—942no—
665C22—942no—
666C22—3761no—
667C22—3761no—
668C22—3761no—
669C22—3761no—
670C22—1881no—
671C22—1881no—
672C22—1881no—
673C22#1568908812yes—
674C22#1568908812yes—
675C22C2×C22⋊C4×D4711yescharacteristic
676C22C2×#1309403011yescharacteristic
677C22C2×#1309403211yescharacteristic
678C4—21no—
679C4—21no—
680C4—21no—
681C4—21no—
682C4—41no—
683C4—41no—
684C4—41no—
685C4—41no—
686C4—942no—
687C4—942no—
688C4—942no—
689C4—1881no—
690C4—1881no—
691C4—1881no—
692C2—21no—
693C2—21no—
694C2—22no—
695C2—22no—
696C2—3761no—
697C2—1882no—
698C2C2×#1568908811yescharacteristic
699C2#2025184611yescharacteristic
700C2#2025186811yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D47
commutatorC23×C47C23×C4
FrattiniC22×C4C23×D47
FittingC2×C47×#324C2
socleC22×C47C22×C22⋊C4
prime radicalC2×#13093998C4
cosocleC22×C4×C47C24
hypercenterC2×#324D47
hypocenterC47#17387
LCSG ▷ C23×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#324

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. #20252414C2semidirect
3. #20252410C2semidirect
4. #20241756C2semidirect
5. #20241750C2semidirect
6. #20241742C2semidirect
7. #20241735C2semidirect
8. #20241704C2semidirect
9. #20241704C2semidirect
10. C2×#15688849C2semidirect
11. C2×C47×#324C2semidirect
352. C2×#324D47semidirect
401. C47#17387semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#156897202
#202524142
#202524102
#202417562
#202417502
#202417422
#202417352
#202417042
C2×#156888492
C2×C47×#3242
#1738747